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Finding the Fourth Proportional to 97,878.90, 146,828.04 and 31,302.30

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Solution

The fourth proportional to 97,878.90, 146,828.04 and 31,302.30 is: 46,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,878.90 : 146,828.04 = 31,302.30 : x
  2. Step 2: Convert to fraction form
    97,878.90/146,828.04 = 31,302.30/x
  3. Step 3: Cross multiply
    97,878.90x = 146,828.04 × 31,302.30
  4. Step 4: Simplify right side
    97,878.90x = 4,596,055,356.49
  5. Step 5: Solve for x
    x = 4,596,055,356.49/97,878.90
  6. Step 6: Final answer
    x = 46,956.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.